Answer: 8 1/4g/cm³
Step-by-step explanation:
Given the graph :
The rate of change in the mass of copper with respect to volume :
To obtain this, we find the slope or gradient of the graph:
Gradient = Δy / Δx = (y2 - y1) / (x2 - x1)
Drawing a right angled triangle on the anybpart of the line of best fit:
y2 = 40 ; x2 = 4.75 ; y1 = 16 ; x1 = 2
(y2 - y1) / (x2 - x1)
= (40 -16) / (4.75 - 2)
= 24 / 2.75
= 2400/275
= 8.727 g/cm^3
Due to unit and graph scale,, the slope is closest to 8 1/4g/cm³
Answer:
Caleb arrived first 2 hours before Alyssa
Step-by-step explanation:
To solve the situation, find the speed per hour they were driving by dividing the distance they drove by the time it took.
Alyssa drove 105 miles in 3.5 hours or 105/3.5 = 30 miles per hour.
Caleb drove 168 miles in 4 hours or 168/4 = 42 miles per hour.
Since they both left at the same time and drove the same 210 miles to the beach, Caleb arrived first since he was driving faster.
He arrived in 210/42 = 5 hours.
Alyssa arrived in 210/30 = 7 hours.
He arrived 2 hours before her.
The best way to do this is to first change each of the measurements into feet and then calculate the area:
2.44m = 8.01ft
1.83m = 6.00ft
When multiplied together (to give the area) we get:
8.01*6.00 = 48.1ft²
Answer:
1.32% of students have the chance to attend the charter school.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.
This means that 
a.What is the percentage of students who have the chance to attend the charter school?
Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So
has a pvalue of 0.9868
1 - 0.9868 = 0.0132
0.0132*100% = 1.32%
1.32% of students have the chance to attend the charter school.
<span>the rate of decay each month can calculated using the following formula:
</span><span>
6%/year × 1 year/(12 months) = 0.5%/month
0.06 x 1/12 = 0.005/month
</span><span>So the 0.5% is the right answer.
I hope it helped.</span>
